Find the measure of each angle.

Question

In triangle abc, the measure of angle b is 29 more than three times the measure of angle A. The measure of angle C is 61 more than the measure of angle A. Find the measure of each angle.

Answer 1

the measure of angle b is 29 more than three times the measure of angle A

 

b = 3a + 29, 

 

The measure of angle C is 61 more than the measure of angle A

 

c = a + 61, 

 

a + b + c = 180

 

a + 3a + 29 + a + 61 = 180

5a + 90 = 180

5a = 90

a = 18

b = 83

c = 79

Answer 2

Hi, Shaneika.

 

Okay >

A = angle A

B = 3A + 29

C = A + 61

They all add to 180 degrees.

 

A + 3A + 29 + A + 61 = 180

5A + 90 = 180

5A = 90

A = 18 degrees

B = 83 degrees

C = 79 degrees